1. Based on the ideas described in [1‐6], we substantiate and propose an approach to attain a method of impulsive-noise suppression. This approach makes it possible to reconstruct image contours and image fine details. For comparison with the method proposed, other well-known algorithms were analyzed. We imply the AMNF and AMNF2 filters [3], and also the AMNF3 [5, 10] and the GVDF [6] filters that employ the angular-divergence technique in the multichannel pixels, as well as the WVDF1, WVDF2, LWVDF, CWVDF, and SWVDF algorithms [7, 8]. The latter algorithms are based on geodesic trajectories. The PVMM [9] and VMF SAR [10] filters constructed on the basis of the highest statistics theory were also used. The approach proposed in the present study makes use of the method of pixel angular divergence in a multichannel image together with the theory of fuzzy sets, which forms the filtered final image. 2. The method developed allows us to determine the presence of noise, contours, and fine details in a sliding window in the course of image processing. The processing is realized in the 3 × 3 sliding window, where 8 pixels (from x 0 to x 7 ) neighboring the central pixel x c are employed. The color-image pixel at the point i is considered as the vector x i with three components, namely, red ( R ), green ( G ), and blue ( B ): x i = ( , , ) . The sliding 3 × 3 window is inside a large 5 × 5 window used for the determination of quantities in different directions with respect to neighboring pixels in the 3 × 3 processing window.